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poldin04
poldin04
22.03.2022 01:18 •  Алгебра

4х-7у=-12 { -4х+3у=12 решите систему

👇
Ответ:
Igor681
Igor681
22.03.2022
\left \{ {{4x-7y=-12} \atop {-4x+3y=12}} \right.
Сложим их:
4x-7y-4x+3y=-12+12
-4y=0
y=0
Тогда  4x-7*0=-12, 4x=-12, x=-3
ответ: (-3;0)
4,6(11 оценок)
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Ответ:
гсооагвгв
гсооагвгв
22.03.2022

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Must Waste More Time...

4,8(58 оценок)
Ответ:
Саляриум
Саляриум
22.03.2022
Решите систему:
1,2x - 2,5y = 4,             12x-25y=40          36x-75y=120
{                          ⇔                              ⇔                       ⇔ -34x=170
-1,4x+1,5y=1;             -14x +15y=10         -70x+75y=50   

1-е ур-е множаем сначала на 10, затем на 3;
2-е ур-е множаем сначала на 10, затем на 5;  затем складываем ур-я:

-34x=170    ⇔  x= -170/34= - 5 тогда y= [10+14·(-5)]/15= -60/15= -4

Проверка
x=  - 5  y=  -4       1,2x - 2,5y = 4,            
                           {                          
                             -1,4x+1,5y=1; 

1,2( - 5 ) - 2,5( - 4 ) = 4,         -6+10=4  верно
{                          
-1,4( - 5 )+1,5( - 4 )=1;           7-6=1      верно

ответ:   x=  - 5  y=  - 4 
4,5(43 оценок)
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